Answer:
In logic, statements and are logically equivalent if they have the same logical content. That is, if they have the same truth value in every model. The logical equivalence of and is sometimes expressed as, or. However, these symbols are also used for material equivalence. Proper interpretation depends on the context.
Step-by-step explanation:
Answer:
they have the same logical content
Step-by-step explanation:
that is if they have the same truth
Kyra receives a 5% Commission on every car she sells she received a 1, 325 Commission on the last car she sold what was the cost of the car
Kyra sold a car that cost $26,500
1325 = 0.05x
1) 0.05x = 1325
2) Divide both sides by 0.05 -—> 0.05x/0.05 = 1325/0.05
3) x = 26,500
Final answer:
Kyra's commission of $1,325, which is 5% of the car's cost, leads us to calculate the cost of the car by dividing the commission by the commission rate, resulting in a car cost of $26,500.
Explanation:
Kyra receives a 5% commission on every car she sells. We are given that her commission on the last car she sold was $1,325. To find the cost of the car, we use the formula:
Commission = (Commission Rate) × (Cost of the Car)
Therefore,
Cost of the Car = Commission ÷ Commission Rate
Cost of the Car = $1,325 ÷ 0.05
Cost of the Car = $26,500
So, the car that Kyra sold was worth $26,500.
Solve. 90[tex]x[/tex] = 27.
Answer: [tex]x[/tex]≈[tex]0.732[/tex]
Step-by-step explanation:
You need to find the value of the variable "x".
To solve for "x" you need to apply the following property of logarithms:
[tex]log(m)^n=nlog(m)[/tex]
Apply logarithm on both sides of the equation:
[tex]90^x=27\\\\log(90)^x=log(27)[/tex]
Now, applying the property mentioned before, you can rewrite the equation in this form:
[tex]xlog(90)=log(27)[/tex]
Finally, you can apply the Division property of equality, which states that:
[tex]If\ a=b,\ then\ \frac{a}{c}=\frac{b}{c}[/tex]
Therefore, you need to divide both sides of the equation by [tex]log(90)[/tex]. Finally, you get:
[tex]\frac{xlog(90)}{log(90)}=\frac{log(27)}{log(90)}\\\\x=\frac{log(27)}{log(90)}[/tex]
[tex]x[/tex]≈[tex]0.732[/tex]
Two angles of a triangle measure 32 degrees and 70 degrees find the measure of the third angle
The sum of the measure of the angles in a triangle are 180 degrees.
In this formula solve for x
32 + 70 + x = 180
102 + x = 180
(102 - 102) + x = 180 - 102
x = 78
The last angle is 78 degrees
Hope this helped!
~Just a girl in love with Shawn Mendes
Flight 202's arrival time is normally distributed with a mean arrival time of 6:30 p.m. and a standard deviation of 15 minutes. Use the eight-part symmetry of the area under a normal curve to find the probability that a randomly chosen arrival time is after 7:15 p.m.
The probability is__
Answer:
The probability is 0.0015
Step-by-step explanation:
We know that the mean [tex]\mu[/tex] is:
[tex]\mu=6:30\ p.m[/tex]
The standard deviation [tex]\sigma[/tex] is:
[tex]\sigma=0:15\ minutes[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
We seek to find
[tex]P(x>7:15\ p.m.)[/tex]
The Z-score is:
[tex]Z=\frac{x-\mu}{\sigma}[/tex]
[tex]Z=\frac{7:15-6:30}{0:15}[/tex]
[tex]Z=\frac{0:45}{0:15}[/tex]
[tex]Z=3[/tex]
The score of Z = 3 means that 7:15 p.m. is 3 standard deviations from the mean. Then by the rule of the 8 parts of the normal curve, the area that satisfies the conficion of 3 deviations from the mean has percentage of 0.15%
So
[tex]P(x>7:15\ p.m.)=P(Z>3)=0.0015[/tex]
The diagram shows the floor plan for Harry's new tree house. The entry terrace on the tree house is shaped like an isosceles trapezoid.
The entry terrace has an area of ___ square feet. The total area of the tree house is ___ square feet.
Answer:
1. 48 square feet
2. 308 square feet
Step-by-step explanation:
1.
The entry terrace is shaped as a trapezoid and the area of a trapezoid is given as:
Area of Trapezoid = [tex]\frac{1}{2}(b_1+b_2)h[/tex]
Where
b_1 and b_2 are the 2 parallel bases
and h is the perpendicular height
From the diagram, we see that the 2 bases are 16 and 8 and height is 4.
Plugging into the formula, we get:
Area of Entry Terrace = [tex]\frac{1}{2}(b_1+b_2)h=\frac{1}{2}(16+8)*4=\frac{1}{2}(24)(4)=48[/tex]
2.
The total area comprises of the area of entry terrace + playroom + back porch.
The area of the back porch is 6 * 6 = 36 (it is shaped like a square and square has area of side * side)
The area of the playroom is 14 * 16 = 224 (it is a rectangle and rectangle has area of base * height)
Total area of treehouse = 48 + 36 + 224 = 308 square feet
Answer:
The entry terrace has an area of
48
square feet. The total area of the tree house including the entrance, porch, and side deck is
350
square feet.
Step-by-step explanation:
I just took a test with this question and this was the right answer
~Please mark me as brainliest : )
Suppose f(x) = x^3. Find the graph of f(x+5)
Step-by-step explanation:
work work work :)
Love you
Answer:
This is the answer
Step-by-step explanation:
What is the surface area of a rectangular prisim with dimensions 5ft, 6ft, and 7ft.
PLEASE ANSWER THIS ASAP!!!
Ok the formula for this is 2(lw +hw+hL)
2(30+35+42)=2(107)=214 square feet
[tex]214 ft^{2}[/tex]
Talk Time Phone Company charges $0.12 per minute of phone use plus a monthly service fee of $8.00 for its phone service. The equation below can be used to find c, the total cost for one month when m minutes are used. If a customer’s bill for the month is $38.00, how many minutes did the customer use the phone?
Answer: If you take the $8 service fee away from 38 you get 30. Then do 30/.12 and you get 250. To check it just do 250 x .12 and you'll get 30.
The answer is 250 minutes
Step-by-step explanation:
To find the number of minutes the customer used the phone, solve the equation c = 0.12m + 8 where c is the total cost for one month and m is the number of minutes used. Given that the customer's bill for the month is $38.00, substitute this value and solve for m. The customer used the phone for 250 minutes.
Explanation:To find the number of minutes the customer used the phone, we can solve the equation
c = 0.12m + 8
where c is the total cost for one month and m is the number of minutes used.
Given that the customer's bill for the month is $38.00, we can substitute this value for c in the equation:
$38.00 = 0.12m + 8
Next, we can subtract 8 from both sides of the equation and then divide by 0.12 to isolate the variable m:
$38.00 - 8 = 0.12m
$30.00 = 0.12m
m = $30.00 / 0.12
m = 250 minutes
So, the customer used the phone for 250 minutes.
A rectangular wall is 5 feet high and 25 feet wide. Which dimensions could be used to draw a similar model?
1 inch high and 5 inches wide
1 inch high and 25 inches wide
5 inches high and 5 inches wide
25 inches high and 5 inches wide
Answer: A. 1 inch high and 5 inches wide.
Step-by-step explanation:
If you divide both sides by 5, you get 1 and 5, which makes it an equal representation,
Which equation represents a line that passes through (5, 1) and has a slope of 1/2 ?
y-5= {1/2(x-1)
y-1/2 = 5(x-1)
y-1=1/2(x-5)
y-1= 5[x-1/2]
Mark this and return
Save and Exit
Next
Answer:
Point-slope equation of this line:
[tex]\displaystyle y - 1 = \frac{1}{2}(x-5)[/tex].
Step-by-step explanation:
The equation for a line in a cartesian plane can take multiple forms. This question gives
a point on the line, andthe slope of the line.The point-slope form will the most appropriate.
What is the point-slope form equation of a line [tex]l[/tex]?
In general,
[tex]l:\; y - y_0 = m (x - x_0)[/tex],
where
[tex]x_0[/tex] is the x-coordinate of the given point on the line, [tex]y_0[/tex] is the y-coordinate of the given point on the line, and[tex]m[/tex] is the slope or gradient of the line.In other words, [tex](x_0,\; y_0)[/tex]the point on the line.
For this line,
The point is [tex](5,\;1)[/tex], where [tex]x_0 = 5[/tex] and [tex]y_0 = 1[/tex].Gradient of the line [tex]\displaystyle m = \frac{1}{2}[/tex].Thus the equation for this line:
[tex]\displaystyle y - 1 = \frac{1}{2} (x - 5)[/tex].
CAN SOMEONE PLEASE HELP ME WITH THISSS
What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale
What is the only solution of 2x2 + 8x = x2 – 16?
i think its x = 10, -2
Answer:
The answer to your question is -4
Step-by-step explanation:
:)
which is an x-intercept of the graphed function
ANSWER
B. (-1,0)
EXPLANATION
The x-intercepts are the points where the graph touches the x-axis.
We can observe from the graph that, the graph touches the x-axis at:
x=-2, x=-1, x=1 and x=2.
Therefore the x-intercepts are (-2,0),(-1,0),(1,0) and (2,0).
From the given options, the only point which is an x-intercept is (-1,0)
The second choice is correct.
The x-intercepts of the graph given in the question is (-1,0). Therefore, the second option is correct.
The x-intercepts are the points on the graph where it intersects the x-axis.
In the graph provided in the question, it is observed that the graph touches the x-axis at x = -2, x = -1, x = 1, and x =2.
Therefore, the intercepts of the x-axis are (-2,0),(-1,0),(1,0), and (2,0). So, from the given options (-1,0) is satisfied,
The second option is correct.
Learn more about intercepts here:
https://brainly.com/question/14180189
#SPJ6
two planes leave an airport at the same time.One airplane is flying 275 mph and the other is flying 375 mph.The angle between their flight paths is 55 degrees.After 3 hours,how far apart are they,to the nearest tenth
Please show work
Answer:
After 3 hours, both the airplanes are at a distance of 938.9 meters from each other.
Step-by-step explanation:
Speed of plane A = 275 mph
Speed of plane B = 375 mph
Angle between their flight path = Ф = 55°
Let their paths after 3 hours make a triangle.
Path of plane A is side 'a' = 275*3 = 825
Path of plane B is side 'b' = 375*3 = 1125
Distance between both planes after 3 hours = side 'c'
Here, we have two sides and one angle of the triangle.
We can find the third side using the law of cosines which is given as:
c² = a² + b² - 2ab*cosФ
c² = 825² + 1125² - 2(825)(1125)(cos(55°))
c² = 680625 + 1265625 - 1064745 where cos(55°) = 0.5736
c² = 881,505
c = √881,505
c = 938.9
c = 938.9 meters
1/3(x-3)-x+3=2(x-1). Answer
Answer:
x = [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
To eliminate the fraction multiply all terms on both sides by 3
(x - 3) - 3x + 9 = 6(x - 1) ← distribute parenthesis on both sides
x - 3 - 3x + 9 = 6x - 6
- 2x + 6 = 6x - 6 ( subtract 6x from both sides )
- 8x + 6 = - 6 ( subtract 6 from both sides )
- 8x = - 12 ( divide both sides by - 8 )
x = [tex]\frac{-12}{-8}[/tex] = [tex]\frac{3}{2}[/tex] = 1.5
evaluate 5!/3! HELP ME PLEASE
Answer:
20
Step-by-step explanation:
5! = 5*4*3*2*1
3! = 3*2*1
5!/3! = 5*4*3*2*1
----------------
3*2*1
Canceling common factors
= 5*4
= 20
For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:
[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]
Then, we have the following expression:
[tex]\frac {5!} {3!}[/tex]
Applying the definition we have:
[tex]\frac {5!} {3!} = \frac {5 * 4 * 3 * 2 * 1} {3 * 2 * 1} = \frac {120} {6} = 20[/tex]
ANswer:
20
The table represents the total price including parking, p(t), for family fair packages with various numbers of included tickets, t. If a family has a budget of $90, what are the restricted domain and range of the function? T= 0 10 20 30 40 50. P(T)=15 27.5 40 52.5 65 77.7
A. The domain is restricted to all whole numbers from 0 and 50 inclusive. The range is all real numbers from 0 to 77.5 inclusive. B. The domain is restricted to all whole numbers from 0 and 50 inclusive. The range is all real numbers from 15 to 77.5 inclusive. C. he domain is restricted to all whole numbers from 0 and 60 inclusive. The range is all real numbers from 0 to 90 inclusivTe. D. The domain is restricted to all whole numbers from 0 and 60 inclusive. The range is all real numbers from 15 to 90 inclusive.
Answer:
The correct option is D.
Step-by-step explanation:
It is given that the table represents the total price including parking, p(t), for family fair packages with various numbers of included tickets, t.
t : 0 10 20 30 40 50
P(t) : 15 27.5 40 52.5 65 77.7
Choose any points from the table. (0,15) and (10,27.5).
The equation of function is
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-15=\frac{27.5-15}{10-0}(x-0)[/tex]
[tex]y-15=\frac{12.5}{10}(x)[/tex]
[tex]y-15=1.25x[/tex]
Add 15 on both the sides.
[tex]y=1.25x+15[/tex]
[tex]P(t)=1.25t+15[/tex]
The family has a budget of $90.
[tex]P(t)\leq 90[/tex]
[tex]1.25t+15\leq 90[/tex]
Subtract 15 from both the sides.
[tex]1.25t\leq 75[/tex]
Divide both sides by 1.25.
[tex]t\leq 60[/tex]
Domain is the set of inputs or the values of t.
[tex]Domain=\{t|0\leq t\leq 60,t\in W\}[/tex]
Range is the set of outputs or the values of function p(t).
[tex]Range=\{P(t)|15\leq P(t)\leq 90,P(t)\in R\}[/tex]
Therefore the correct option is D.
Final answer:
The correct restricted domain is all whole numbers from 0 to 50 inclusive, and the restricted range is all real numbers from 15 to 77.5 inclusive, given the family's budget constraint of $90. Therefore, the correct option is B.
Explanation:
The problem presented involves determining the restricted domain and range of a function p(t) that reflects the total price, including parking, for family fair packages with a varying number of included tickets (t). Considering the family's budget of $90, we must identify the correct domain and range within this context. The domain here is the number of tickets, which can only take on certain specified values, and the range is the pricing associated with those ticket amounts. The possible ticket numbers (t) are 0, 10, 20, 30, 40, 50, and the corresponding prices (p(t)) are 15, 27.5, 40, 52.5, 65, 77.5.
Considering the given budget constraint, the domain and range must also not exceed $90. Thus, we exclude any ticket numbers or prices above this threshold when determining the domain and range. The correct answer to the question is B: The domain is restricted to all whole numbers from 0 to 50 inclusive. The range is all real numbers from 15 to 77.5 inclusive since these are the observed outputs from the function p(t) within the family's budget.
Write the equation of a line that is perpendicular to the given line and that passes through the given point.
help asap
Answer:
y = (-3/2)x - 4
Step-by-step explanation:
If y = (2/3)x + 9, the slope is 2/3. Any line perpendicular to this line would have the slope -3/2, which is the negative reciprocal of 2/3.
If the perpendicular line passes thru (-6, 5), then the equation in slope-intercept form would be:
y = mx + b, or (here) 5 = (-3/2)(-6) + b. From this we see that b = -4, and the desired equation is y = (-3/2)x - 4 (Answer Choice #3)
The table shows the functions representing the length and width of a rectangle
ANSWER
P(x)=2(f+g)(x)
EXPLANATION
The perimeter of a rectangle is calculated using the formula:
P=2(l+w)
From the table
The length is f(x)=x+3
The width is g(x)=x+2
This implies that the perimeter is
P(x)=2(f(x)+g(x))
This is the same as
P(x)=2(f+g)(x)
Identify an equation in slope-intercept form for thr line parallel to y=5x+2 that passes through (-6, -1).
Answer:
The correct answer option is A. y = 5x + 29.
Step-by-step explanation:
We are given the following equation of a line and we are to identify the equation of a line parallel to this line which passes through (-6, -1), in slope intercept form:
[tex]y = 5x+2[/tex]
Parallel lines have same slope, so the slope of this line will be 5.
Finding the y-intercept using the standard equation of line.
[tex]y=mx+c[/tex]
[tex]-1=5(-6)+c[/tex]
[tex]c=29[/tex]
Therefore, our equation will be:
[tex]y=5x+29[/tex]
The answer is:
The equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:
A.
[tex]y=5x+29[/tex]
Why?To find an equation in slope-intercept form for the linea paralallel to the given line, we must guarantee that the new line will have the same slope of the given line.
We are given the line:
[tex]y=5x+2[/tex]
Where its slope is equal to 5
[tex]m=5[/tex]
and the point (-6,-1)
The slopte-intercept form of a line, is given by the following equation:
[tex]y=mx+b[/tex]
Then, we know that the line that we are looking for, will have a slope equal to 5, so:
[tex]y=5x+b[/tex]
Now, substituting the given point in order to find "b", we have:
[tex]y=5x+b[/tex]
[tex]-1=5*(-6)+b[/tex]
[tex]-1=-30+b[/tex]
[tex]b=-1+30=29[/tex]
Hence, we have that the equation of the line that it's parallalel to the given line and passes through the point (-6,-1) will be:
[tex]y=5x+29[/tex]
Have a nice day!
3^4 + 2 ⋅ 5 = ____.
Answer:
91
Step-by-step explanation:
To solve this use order of operations and the acronym PEMDAS:
Parentheses:
There are no parentheses
Exponents:
[tex]3^4[/tex] is equal to 3 x 3 x 3 x 3.
3 x 3 is 9, so we can simplify this to 9 x 9.
9 x 9 is 81.
Now we have 81 + 2 x 5
Multiplication or Division:
Multiply 2 x 5.
2 x 5 = 10.
Now we have 81 + 10
Addition or Subtraction:
Add 81 + 10
81 + 10
= 91
PLZ HELP!! What is the average rate of change from -1 to 1 of the function represented by the graph?
Answer:
-0.125
Step-by-step explanation:
The points on the graph referenced by the problem statement are ...
(x, y) = (-1, -0.25)
(x, y) = (1, -0.50)
The average rate of change between the two points is ...
(∆y)/(∆x) = (-0.50 -(-0.25))/(1 -(-1)) = -0.25/2 = -0.125
The average rate of change of the function shown on the interval [-1, 1] is -0.125.
Answer:
-0.125
Step-by-step explanation:
Find the value of x such that the data set has the given mean. 31.7, 42.8, 26.4 x: mean 35
Answer:
x = 39.1
Step-by-step explanation:
Points to remember
Mean of a data set is given by
Mean = (sum of data set)/Total number of data
To find the value of x
It is given a data set
31.7, 42.8, 26.4, x
Mean = 35
Sum of data set = 31.7 + 42.8 + 26.4 + x = 100.9 + x
(100.9 + x)/4 = 35
100.9 + x = 35 * 4 = 140
x = 140 - 100.9 = 39.1
Therefore x = 39.1
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Perimeter is the outside dimensions.
There are two sides 5z and two sides 4z +3.
5z +5z +4z+3 + 4z +3 = 186
Combine like terms:
18z + 6 = 186
Subtract 6 from both sides:
18z = 180
Divide both sides by 18:
z = 180 / 18
z = 10
which of the following equations are identities. Check all that apply
A) cotx= cosx/sinx
B) cscx=1/cosx
C) tanx=1/cotx
D) cscx=1/secx
Answer:
A) cotx = cosx/sinx
C) tanx = 1/cotx
Step-by-step explanation:
A)
cosx/sinx = 1/(sinx/cosx) = 1/tanx = cotx
Therefore, cotx = cosx/sinx
C)
Similarly;
1/tanx = cotx
Therefore,
1 = tanxcotx
1/cotx = tanx
and
tanx = 1/cotx
B) cscx=1/cosx is not true since;
1/cosx = secx
and
cscx = 1/sinx
Can someone help me find the answers!! Please!
I only know number 9
9:0.70
8. 960 / 40 = 24
9. 7/10 = 0.7
10. 36.90
7.35
Once added its sum is 44.25.
3. Consider the function y = x^2 + 4x – 4.
(a) What is the vertex of the function? Show your work.
(b) What is the equation of the axis of symmetry? Explain how you know.
(c) What is the y-intercept? Explain how you know.
Answer:
a) (-2,-8)
b) not sure :(
c) (0,-4)
Step-by-step explanation:
To find the vertex rewrite in vertex form and use this form to find the vertex (h,k). To find the y-intercept, substitute in 0 for x and solve for y.
What probability of player getting to base
Probability of getting tails
Answer:
The correct answer option is B. 7/12.
Step-by-step explanation:
We are given that a baseball player gets to base 7 times and strikes out 5 times during a tournament.
We are to find the experimental probability of the player getting on base.
Assuming that there are only two outcomes,
number of times player gets on base = 7
number of times player strikes out = 5
total number of both outcomes = 12
Experimental probability of getting on base = 7/12
The answer above is right
CAN SOMEONE PLEASEEEEEEEEE HELP
Answer:
5
Step-by-step explanation:
2/125 * 5 = 2/25
Answer:
https://edge-answers.org/
Gives most of the answers.
Step-by-step explanation:
Consider the net of a rectangular box where each unit on the coordinate plane represents 4 feet. If a can of spray paint covers 40 square feet, how many cans of spray paint are needed to paint the inside and outside of the box red?
A. 4
B. 6
C. 8
D. 12
Answer:
8
Step-by-step explanation:
took the test